54528864 has 72 divisors (see below), whose sum is σ = 155041992. Its totient is φ = 16773120.

The previous prime is 54528857. The next prime is 54528871. The reversal of 54528864 is 46882545.

It is an interprime number because it is at equal distance from previous prime (54528857) and next prime (54528871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14544 + ... + 17904.

It is an arithmetic number, because the mean of its divisors is an integer number (2153361).

Almost surely, 2^54528864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77520996).

54528864 is an abundant number, since it is smaller than the sum of its proper divisors (100513128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54528864 is a wasteful number, since it uses less digits than its factorization.

54528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3379 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 54528864 is about 7384.3661881031. The cubic root of 54528864 is about 379.2062471153.

The spelling of 54528864 in words is "fifty-four million, five hundred twenty-eight thousand, eight hundred sixty-four".